定积分累积过程与黎曼和关系 - 知达AI助教 | 教育人工智能案例

做一个动图：高亮曲线下的面积，动态移动上限来展示定积分的累积过程，并对比黎曼和与极限的关系
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定积分累积过程与黎曼和关系

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            <label>分段数: <input type="number" id
                ="rectCount" value="20" min="1" max="100"
                ></label>
        </div>
        <div class="legend">
            <div><span class="color-box" style="background
                -color: rgba(255, 99, 132, 0.6);"></span
                >黎曼和 (矩形)</div>
            <div><span class="color-box" style="background
                -color: rgba(75, 192, 192, 0.4);"></span
                >定积分面积</div>
        </div>
        <div class="info-panel">
            <p><strong>当前积分值:</strong> <span id
                ="integralValue">0.00</span></p>
            <p><strong>黎曼和近似值:</strong> <span id
                ="riemannSum">0.00</span></p>
            <p><strong>说明:</strong> 
                动态展示上限x从0到3时，函数f(x)=x²在[0
                ,x]上的定积分累积过程。蓝色半透明区域表示精确
                的积分面积，红色半透明矩形表示黎曼和近似。</p
                >
        </div>
    </div>
    <script>
        const canvas = document.getElementById('myCanvas');
        const ctx = canvas.getContext('2d');
        const startBtn = document.getElementById('startBtn');
        c
 
 
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